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Evgen [1.6K]
3 years ago
11

System of equations- does this have one solution, many solutions or no solution

Mathematics
1 answer:
Alla [95]3 years ago
3 0

Answer:

One solution

Step-by-step explanation:

Let's rewrite y = 6 - 3x as y = -3x + 6

Looking at these two equations, we can see they share a y-intercept

Making our solution 6

We know there is only one solution because the equations are not the exact same, if they were we'd have infinitely many solutions

We also know there aren't no solutions because the lines are not parallel (same slopes with difference y-intercepts)

Best of luck

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kari74 [83]
R^2=(x-6)^2+(y-4)^2

r^2=(6-2)^2+(4-1)^2, r^2=16+9=25

(x-6)^2+(y-4)^2=25
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Papessa [141]
X^m means x times itself m times

(-6)^5 means -6 time itself 5 times
simplify it says
remember that
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you plan to go snowboarding this weekend in Pennsylvania. the resort charges $15.75 per hour in addition to a $25 deposit to ren
Ulleksa [173]

Answer:

A. Equation is c=25+15.75x

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Step-by-step explanation:

A)

Suppose you rent for x hours and each hour costs $15.75

<u><em>How much would you need to pay?</em></u>

15.75x

Moreover, there is a $25 dollar (fixed) deposit for renting, so that gets added to your payment. All in all, you have to pay 25+15.75x

This is the equation of renting a snowboard for x hours.

Equation is c=25+15.75x

  • Where x is the number of hours you rent the snowboard, and
  • c is the total cost

B)

If you are renting from 8.30 to 12.30, you are basically renting for 4 hours.

To know how much it will cost, you simply plug in 4 into x (in the equation):

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Answer:

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The formula for the area of a triangle is \frac{1}{2} *b*h

The triangles that can be made is the triangle that has legs 20 and 50 and the triangle that has legs 20 and 10.

Since there are 2 of each triangles, we get:

2(\frac{1}{2} *20*50)+2(\frac{1}{2} *20*10)

The answer that fits is the first option.

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